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A075127 Safe perfect powers: perfect powers n such that (n-1)/2 is also a perfect power. +0
1
9, 243, 289, 9801, 332929, 11309769 (list; graph; listen)
OFFSET

1,1

MATHEMATICA

pp = Select[ Range[10^8], Apply[ GCD, Last[ Transpose[ FactorInteger[ # ]]]] > 1 & ]; Select[pp, Apply[GCD, Last[ Transpose[ FactorInteger[( # - 1)/2]]]] > 1 & ]

CROSSREFS

Cf. A001597, A070428, A075114.

Sequence in context: A153223 A157569 A085799 this_sequence A013733 A112028 A161159

Adjacent sequences: A075124 A075125 A075126 this_sequence A075128 A075129 A075130

KEYWORD

easy,nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Oct 11 2002

EXTENSIONS

One more term from Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 16 2002

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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